一种利用水平集函数计算稳定曲率的新方法

IF 5.3 Q1 ENGINEERING, MECHANICAL International Journal of Hydromechatronics Pub Date : 2023-01-01 DOI:10.1504/ijhm.2023.134339
M. Sellam, K. Kannan, S. Natarajan
{"title":"一种利用水平集函数计算稳定曲率的新方法","authors":"M. Sellam, K. Kannan, S. Natarajan","doi":"10.1504/ijhm.2023.134339","DOIUrl":null,"url":null,"abstract":"Computation of the curvature is an essential task during the simulation of processes such as bio-film growth and two-phase fluid flow wherein the interfacial forces play a crucial role in the determination of the state of stress. Existing methods for computing the curvature at the interface are not very accurate and exhibit unwanted numerical oscillations. In this work, a novel method is proposed to compute the mean curvature of the interface accurately. As opposed to Bruchon method which has only one stabilising term that can bias the results, the proposed method includes a pair of counteracting stabilising terms that remove any such bias. A comparative investigation of the proposed method with other existing techniques is also presented to demonstrate the superior performance. The paper also illustrates the application of the proposed curvature computation method for the flow through pipe problem in the last section.","PeriodicalId":29937,"journal":{"name":"International Journal of Hydromechatronics","volume":"19 1","pages":"0"},"PeriodicalIF":5.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new stabilised curvature computation method using the level set function\",\"authors\":\"M. Sellam, K. Kannan, S. Natarajan\",\"doi\":\"10.1504/ijhm.2023.134339\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Computation of the curvature is an essential task during the simulation of processes such as bio-film growth and two-phase fluid flow wherein the interfacial forces play a crucial role in the determination of the state of stress. Existing methods for computing the curvature at the interface are not very accurate and exhibit unwanted numerical oscillations. In this work, a novel method is proposed to compute the mean curvature of the interface accurately. As opposed to Bruchon method which has only one stabilising term that can bias the results, the proposed method includes a pair of counteracting stabilising terms that remove any such bias. A comparative investigation of the proposed method with other existing techniques is also presented to demonstrate the superior performance. The paper also illustrates the application of the proposed curvature computation method for the flow through pipe problem in the last section.\",\"PeriodicalId\":29937,\"journal\":{\"name\":\"International Journal of Hydromechatronics\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Hydromechatronics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/ijhm.2023.134339\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Hydromechatronics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijhm.2023.134339","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0

摘要

在模拟生物膜生长和两相流体流动等过程中,曲率的计算是一项重要任务,其中界面力在确定应力状态方面起着至关重要的作用。现有的计算界面曲率的方法不是很精确,并且表现出不必要的数值振荡。本文提出了一种精确计算界面平均曲率的新方法。与Bruchon方法相反,Bruchon方法只有一个稳定项可以使结果产生偏差,该方法包括一对抵消稳定项,可以消除任何此类偏差。本文还将该方法与其他现有技术进行了对比研究,以证明其优越的性能。最后一节还举例说明了所提出的曲率计算方法在管道流动问题中的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
A new stabilised curvature computation method using the level set function
Computation of the curvature is an essential task during the simulation of processes such as bio-film growth and two-phase fluid flow wherein the interfacial forces play a crucial role in the determination of the state of stress. Existing methods for computing the curvature at the interface are not very accurate and exhibit unwanted numerical oscillations. In this work, a novel method is proposed to compute the mean curvature of the interface accurately. As opposed to Bruchon method which has only one stabilising term that can bias the results, the proposed method includes a pair of counteracting stabilising terms that remove any such bias. A comparative investigation of the proposed method with other existing techniques is also presented to demonstrate the superior performance. The paper also illustrates the application of the proposed curvature computation method for the flow through pipe problem in the last section.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
7.60
自引率
0.00%
发文量
32
期刊最新文献
A comparative study of energy-efficient clustering protocols for WSN-internet-of-things A mayfly optimisation method to predict load settlement of reinforced railway tracks on soft subgrade with multi-layer geogrid Parameter optimization design of mixing and distributing system of vertical biaxial bladed mixer Research on singular point characteristics and parameter bifurcation of single DOF nonlinear autonomous bearing system of magnetic-liquid double suspension bearing An improved gated convolutional neural network for rolling bearing fault diagnosis with imbalanced data
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1